Evaluating the elevator round trip time for multiple entrances and incoming traffic conditions using Markov chain Monte Carlo
by Lutfi Al-Sharif; Ahmad Tayseer Hammoudeh
International Journal of Industrial and Systems Engineering (IJISE), Vol. 18, No. 1, 2014

Abstract: The round trip time is the basis for designing elevator systems. There are a number of different methods for calculating the round trip time, whether analytical or numerical. As the building and the conditions of the traffic become more complicated, analytical methods become intractable. Numerical methods offer an attractive alternative for calculating the round trip time. Monte Carlo simulation has been used to find the value of the round trip time. The use of the Markov chain Monte Carlo method is a viable alternative. This paper derives the formulae necessary to build the transition probability matrix for the elevator during a round trip under incoming traffic conditions and multiple entrances. A numerical example is then solved by finding the round trip time using the Markov chain Monte Carlo method and then cross verified by the use of Monte Carlo simulation and the analytical equation based method. Excellent agreement has been found between the three methods, with differences smaller than 0.01%.

Online publication date: Sat, 30-Aug-2014

The full text of this article is only available to individual subscribers or to users at subscribing institutions.

 
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.

Pay per view:
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.

Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Industrial and Systems Engineering (IJISE):
Login with your Inderscience username and password:

    Username:        Password:         

Forgotten your password?


Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.

If you still need assistance, please email subs@inderscience.com